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Please break the solution into more steps to help me understand

(SOA 153 #18)

Two instruments are used to measure the height, h, of a tower. The error made by the
less accurate instrument is normally distributed with mean 0 and standard deviation
0.0056h . The error made by the more accurate instrument is normally distributed with
mean 0 and standard deviation 0.0044h .
Assuming the two measurements are independent random variables, what is the
probability that their average value is within 0.005h of the height of the tower?